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  4. Mathematical modeling of subdiffusion impedance in multilayer nanostructures

Mathematical modeling of subdiffusion impedance in multilayer nanostructures

MMC.
2015;
Volume 2, Number 2
: pp. 154-159
https://doi.org/10.23939/mmc2015.02.154
Received: December 20, 2015

Math. Model. Comput. Vol. 2, No. 2, pp. 154-159 (2015)

Authors:
  1. P. Kostrobij
  2. I. Grygorchak
  3. F. Ivaschyshyn
  4. B. Markovych
  5. O. Viznovych
  6. M. Tokarchuk
1
Lviv Polytechnic National University
2
Lviv Polytechnic National University
3
Lviv Polytechnic National University
4
Lviv Polytechnic National University
5
Lviv Polytechnic National University
6
Lviv Polytechnic National University; Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine

The model of impedance subdiffusion based on the Cattaneo equation in fractional derivatives in applications to multilayer nanostructures is considered. Nyquist diagrams with changes of the parameter $\tau$ (time for which the flow is delayed with respect to the concentration gradient) and the subdiffusion coefficient $D_{\alpha }$ are calculated.

fractional derivative
Cattaneo equation
Nyquist diagram
impedance
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